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Finding the Fourth Proportional to 9,823.23, 13,547.16 and 7,311.69

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Solution

The fourth proportional to 9,823.23, 13,547.16 and 7,311.69 is: 10,083.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.23 : 13,547.16 = 7,311.69 : x
  2. Step 2: Convert to fraction form
    9,823.23/13,547.16 = 7,311.69/x
  3. Step 3: Cross multiply
    9,823.23x = 13,547.16 × 7,311.69
  4. Step 4: Simplify right side
    9,823.23x = 99,052,634.30
  5. Step 5: Solve for x
    x = 99,052,634.30/9,823.23
  6. Step 6: Final answer
    x = 10,083.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.